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How do you find a mathematical domain?
The domain of a function is just all the x-values that have a corresponding y-value. Typically, you need to check for discontinuities or vertical asymptotes. For example, any x value that causes the denominator of a fraction to be 0 must be excluded from the domain, since you can't divide by 0. A simple case would be f(x) = 1 / x If x = 0 , the denominator is 0 and the function is undefined; all other values of x have a corresponding value for f(x), so the domain would be x < 0 and x > 0, or (-∞, 0) U (0, ∞). >>M.T.<<
What are the solutions for the quadratic equation x2 plus 6x equals 16?
x2 + 6x = 16=> x2 + 6x - 16 = 0=> x2 + 8x -2x - 16 = 0=> (x+8)(x-2) = 0=> x = -8 or x = 2So, the solutions of the quadratic equation x2 + 6x = 16 are -8 and 2.
What is the vertex for the parabola y equals x squared plus 4x plus 5?
The vertex of a parabola is the minimum or maximum value of the parabola. To find the maximum/minimum of a parabola complete the square: x² + 4x + 5 = x² + 4x + 4 - 4 + 5 = (x² + 4x + 4) + (-4 + 5) = (x + 2)² + 1 As (x + 2)² is greater than or equal to 0, the minimum value (vertex) occurs when this is zero, ie (x + 2)² = 0 → x + 2 = 0 → x = -2 As (x + 2)² = 0, the minimum value is 0 + 1 = 1. Thus the vertex of the parabola is at (-2, 1).
Approximation of sin x by x?
the value of sin(x) lies between -1 to +1. the approx value of sin(x)/x = 1 when x tends to 0 & sin(x)/x = 0 when x tends to infinity.
What is the value of x in the equation 32x - 16 equals 512?
If: 32x-16 = 512 Then: x = 16.5
Write 16 to the 3rd power as a product of the same value. Then find the value?
16 x 16 x 16 = 4096
What is the value of x in x plus 16 equals 26?
x+16=26Subtract 16 from both sides and you will find that is equal to 10, x=10 and that's its value.
How do you find the absolute value of something?
If a number is not less than zero then that is its absolute value. If a number is less than zero, its negative is its absolute value. So, if |x| denotes the absolute value of x, then |x| = -x for x<0 [since if x<0 then -x>0] and |x| = x for x>= 0
How do you find the x-intercept from a table?
You look for the value of 0 in the y column, and find out what x has to be for y=0. This value of x is you x-axis intercept. (Reverse "x" and "y" in the above description to find the y-intercept, if there is one).
How do you find the y-intercept of -7y plus x - 1 equals 5x plus 15?
Remember, the y-intercept is where the x-value is equal to zero. The easiest way to do this is to solve an equation in terms of x, for y. -7y + x - 1 = 5x + 15 -7y = 5x - x + 15 + 1 -7y = 4x + 16 y = (-4/7)x - 16/7 Now that you have solved an equation for y, simply substitute 0 in for x to find the y-intercept. y = (-4/7)(0) - 16/7 y = 0 - 16/7 y = -16/7 This is the y-coordinate of where your y-intercept will occur. Since it is a y-intercept, the x-value is 0, giving you the ordered pair ( 0 , -16/7 ).
If 6x - 2 equals 16 what is the value of x - 3?
6x - 2 = 16 : 6x = 16 + 2 = 18 : x = 18÷ 6 = 3 :x - 3 = 3 - 3 = 0 : x - 3 = 0
10010011 base 2 to decimal?
In binary, each place value column is twice the value of the one on its right. Thus 10010011 {in base 2} = 1 x 128 + 0 x 64 + 0 x 32 + 1 x 16 + 0 x 8 + 0 x 4 + 1 x 2 + 1 x 1 = 128 + 16 + 2 + 1 = 147
Find the value or values of c that satisfy the equation f(b)-f(a)/b-a = f’(c) in the conclusion of the Mean Value Theorem for the function and intervals.g(x) = {x³, -2 ≤ x ≤ 0; x², 0 < x ≤ 2?
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Why does the binary number 10110 have the decimal value 22?
The binary number 10110 represents (1 x 16) + (0 x 8) + (1 x 4) + (1 x 2) + (0 x 1) and 16 + 4 + 2 = 22.
What is the measure of the side of 16 sq cm?
A rectangle with sides of length x cm and 16/x cm will have an area of 16 sq cm for any value x that is greater than 0.
What is an expression for subtract 16?
Y = X - 16 X= Y + 16 X is the original value. Y is the new value of the original value - 16.
Find the coordinate of X if XY equals 1 and the coordinate of Y is 0?
If Y = 0 then there is no value of X such that XY = 1.
